5160419865792 has 756 divisors, whose sum is σ = 16513799875560. Its totient is φ = 1599209422848.

The previous prime is 5160419865763. The next prime is 5160419865817. The reversal of 5160419865792 is 2975689140615.

5160419865792 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 419 + 86 + 57 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8943535008 + ... + 8943535584.

Almost surely, 2^{5160419865792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160419865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256899937780).

5160419865792 is an abundant number, since it is smaller than the sum of its proper divisors (11353380009768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5160419865792 is an frugal number, since it uses more digits than its factorization.

5160419865792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5160419865792 in words is "five trillion, one hundred sixty billion, four hundred nineteen million, eight hundred sixty-five thousand, seven hundred ninety-two".